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@Directrix
I used the equation of a line from two points on the line calculator at https://www.easycalculation.com/analytical/two-point.php .
Line 1 is 2x + y = 4 Line 2 is 2x + y = 7 Note that the left sides of the two equations are the same. If we solve these simultaneously , 4 = 7 would result which cannot be. The lines are parallel with different y intercepts.
They do not intersect at all. So, your selection of "infinitely many" cannot be correct. Zero solutions is because the two lines have no common solutions.
@Gokuporter
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